The number 47180
47180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 337. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 337, 674, 1348, 1685 … 47180.
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How to work it out
- 1
What is special about 47180: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.
- 2
47180 is composite. Its prime factorisation is
- 3
The divisors add up to 113568; without 47180 itself that is 66388, so 47180 is abundant (66388 is more than 47180). Euler's totient φ(47180) = 16128 numbers up to 47180 share no factor with it.
- 4
The digits of 47180 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47180 = 2^{2} \times 5 \times 7 \times 337 \]47180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 113568 |
| Euler totient φ(n) | 16128 |
| Square | 2225952400 |
| Cube | 105020434232000 |
| Square root | 217.209576 (= 2√11795) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.718 × |
47180 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and eighty |
| Binary (base 2) | 1011100001001100 |
| Octal (base 8) | 134114 |
| Hexadecimal (base 16) | B84C |
| Base 3 | 2101201102 |
| As time | 47180 seconds = 13 h 6 min 20 s |
Is 47180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47180 ÷ 2 = 23590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47180 ÷ 4 = 11795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47180 ÷ 5 = 9436) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47180 ÷ 7 = 6740) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47180 ÷ 10 = 4718) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47180 a prime number?
No. 47180 = × 5 × 7 × 337, so it is divisible by 2.
What are the factors of 47180?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 337, 674, 1348, 1685, 2359, 3370, 4718, 6740, 9436, 11795, 23590, 47180.
What is 47180 in binary?
1011100001001100 (hexadecimal B84C, octal 134114).
What is the square root of 47180?
About 217.2096, exactly 2√11795.
Is 47180 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47180?
47180 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.